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Simplifying 4(3n) + 3 = n + -5(4 + n) Remove parenthesis around (3n) 4 * 3n + 3 = n + -5(4 + n) Multiply 4 * 3 12n + 3 = n + -5(4 + n) Reorder the terms: 3 + 12n = n + -5(4 + n) 3 + 12n = n + (4 * -5 + n * -5) 3 + 12n = n + (-20 + -5n) Reorder the terms: 3 + 12n = -20 + n + -5n Combine like terms: n + -5n = -4n 3 + 12n = -20 + -4n Solving 3 + 12n = -20 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 3 + 12n + 4n = -20 + -4n + 4n Combine like terms: 12n + 4n = 16n 3 + 16n = -20 + -4n + 4n Combine like terms: -4n + 4n = 0 3 + 16n = -20 + 0 3 + 16n = -20 Add '-3' to each side of the equation. 3 + -3 + 16n = -20 + -3 Combine like terms: 3 + -3 = 0 0 + 16n = -20 + -3 16n = -20 + -3 Combine like terms: -20 + -3 = -23 16n = -23 Divide each side by '16'. n = -1.4375 Simplifying n = -1.4375
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